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Finding the Fourth Proportional to 3,327.60, 4,991.52 and 862.67

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Solution

The fourth proportional to 3,327.60, 4,991.52 and 862.67 is: 1,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.60 : 4,991.52 = 862.67 : x
  2. Step 2: Convert to fraction form
    3,327.60/4,991.52 = 862.67/x
  3. Step 3: Cross multiply
    3,327.60x = 4,991.52 × 862.67
  4. Step 4: Simplify right side
    3,327.60x = 4,306,009.60
  5. Step 5: Solve for x
    x = 4,306,009.60/3,327.60
  6. Step 6: Final answer
    x = 1,294.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.